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Finding the Third Proportional to 136,882 and 204,766

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Solution

The third proportional to 136,882 and 204,766 is: 306,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,882 : 204,766 = 204,766 : x
  2. Step 2: Convert to fraction form
    136,882/204,766 = 204,766/x
  3. Step 3: Cross multiply
    136,882x = 204,766 × 204,766
  4. Step 4: Simplify right side
    136,882x = 41,929,114,756
  5. Step 5: Solve for x
    x = 41,929,114,756/136,882
  6. Step 6: Final answer
    x = 306,315.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.